What is a polynomial?
Operations with Polynomials (Add, Subtract & Multiply)

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Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication. Example: 2x^2 + 3x - 5.
2.
FLASHCARD QUESTION
Front
What does it mean to add polynomials?
Back
Adding polynomials involves combining like terms from two or more polynomial expressions. Example: (2x^2 + 3x) + (4x^2 + 5) = 6x^2 + 3x + 5.
3.
FLASHCARD QUESTION
Front
What does it mean to subtract polynomials?
Back
Subtracting polynomials involves taking the difference of like terms from two polynomial expressions. Example: (5x^2 + 3x) - (2x^2 + 4) = 3x^2 + 3x - 4.
4.
FLASHCARD QUESTION
Front
How do you multiply polynomials?
Back
Multiplying polynomials involves using the distributive property to multiply each term in one polynomial by each term in the other. Example: (x + 2)(x + 3) = x^2 + 5x + 6.
5.
FLASHCARD QUESTION
Front
What is a like term?
Back
Like terms are terms in a polynomial that have the same variable raised to the same power. Example: 3x^2 and 5x^2 are like terms.
6.
FLASHCARD QUESTION
Front
What is the degree of a polynomial?
Back
The degree of a polynomial is the highest power of the variable in the expression. Example: In 4x^3 + 2x^2 - x, the degree is 3.
7.
FLASHCARD QUESTION
Front
What is the leading coefficient of a polynomial?
Back
The leading coefficient is the coefficient of the term with the highest degree in a polynomial. Example: In 3x^4 + 2x^3 - x, the leading coefficient is 3.
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